Morgan uses 1/4 of her supply of raisins to make trail mix and 3/8 of her supply of raisins to make cookies. If Morgan uses 5 pounds of raisins, how many pounds of raisins are in her supply?

To solve the quadratic equation z² -6z - 27 = 0, factor it to get (z - 9)(z + 3) = 0. Using the Zero Product Property, we find that the solutions are z = 9 and z = -3.

Solving Quadratic Equations by Factoring

To solve the quadratic equation z ²
- 6z - 27 = 0 by factoring, we must find two numbers that add up to -6 and
multiply to -27. After identifying these numbers, we can factor the quadratic expression
into a product of two binomials and then apply the Zero Product Property to find the
values of z.

The two numbers that meet these criteria are -9 and 3, as (-9)*(3) = -27 and (-9)+(3) =
-6. Therefore, we can express the quadratic equation as:

(z - 9)(z + 3) = 0

By the Zero Product Property, we find the solutions to the equation by setting each
binomial equal to zero:

z - 9 = 0
  z = 9

z + 3 = 0
  z = -3

Thus, the solutions to the quadratic equation are z = 9 and z = -3. These are the z-values that satisfy the original equation.

The Last one is your answer

Answer:

The last one i did this before

Step-by-step explanation:

The slope of the line that points M and N lies on is [tex]-\frac{3}{4}[/tex]

Given:

[tex]M(1, 3)\\N(5, 0)[/tex]

Formula for slope of a line is:

[tex]slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let,

[tex]M(1, 3) = (x_1, y_1)\\N(5, 0) = (x_2, y_2)[/tex]

Substitute

[tex]Slope(m) = \frac{0-3}{5-1} \\= \frac{-3}{4} \\= -\frac{3}{4}[/tex]

Therefore, the slope of the line that contains M(1, 3) and N(5, 0) is: [tex]-\frac{3}{4}[/tex]

Learn more about slope here:

https://brainly.com/question/19381158

Step-by-step explanation:

If 555 is divided by 2 then the quotient is 277 and remainder is 1.

Answer:

4x + 15y = 12

Step-by-step explanation:

The standard form of a linear equation is Ax + By = C where A and B cannot be fractions and A is not negative. To write in standard form, move -5/2y to the other side of the equal sign. Then clear the denominators by multiplying the equation by 6.

2/3x=-5/2y+2

2/3x + 5/2y = 2

6(2/3x + 5/2y = 2)

4x + 15y = 12

Final answer:

Ordered pairs with opposite signs for their coordinates are located in the second or fourth quadrants of a Cartesian plane, depending on the signs of the x and y-coordinates.

Explanation:

The coordinates of an ordered pair with opposite signs indicate its position in the coordinate plane. When the x-coordinate and y-coordinate have opposite signs, the ordered pair lies either in the second or fourth quadrant. This is because the sign of the x-coordinate is positive on the right side of the y-axis (first and fourth quadrants) and negative on the left side (second and third quadrants), and similarly, the sign of the y-coordinate is positive above the x-axis (first and second quadrants) and negative below it (third and fourth quadrants). Thus, if an ordered pair has coordinates with opposite signs, it lies in the quadrant where one axis is positive and the other is negative. For example, if the x-coordinate is positive and the y-coordinate is negative, the ordered pair will be in the fourth quadrant. Conversely, if the x-coordinate is negative and the y-coordinate is positive, it will lie in the second quadrant.

Answer:

c(x) = -2x^2+16x+168

Step-by-step explanation:

just did it on edmentum

Answer:

1.  The scatter plot does not show a linear model.2. Since the plotted data are all around the temperature of 10, the slope would be a horizontal line at 10. A horizontal line does not have any slope, this tell me that the average temperature stays an average of 10 no matter what the humidity level is.3. There is no vertical intercept shown.2nd page:1. yes, because there were 2 small clusters separated by a little bit of space.2. I think the location of the area the data came from may change the relationship between the variables.3. I think by switching the axis's the data may be grouped closer together since most of the data points are along a vertical line.

Step-by-step explanation:

On a standard number cube there are 6 numbers and only one of them is greater than 5.

The probability of getting the one number out of 6 total numbers is 1/6

P( number greater than 5) = 1/6

Answer:

n(30 +18 +85 +15) , and if you slove the expression it'll be $148 dollars .

Step-by-step explanation:

The total purchase price, including sales tax, for the two blankets, one mattress, and one sheet that Mike purchased is $178.69.

To work out the total purchase price, including sales tax, for the items Mike purchased, first, we need to calculate the total cost of the blankets, mattress, and sheet before tax:

Add these amounts together to find the subtotal:

$89.98 + $59.00 + $19.99 = $168.97

Next, we compute the sales tax. Convert the percent to a decimal by moving the decimal point two places to the left (5.75% becomes 0.0575), and then multiply by the subtotal:

0.0575 × $168.97 = $9.7161

Round the sales tax to the nearest cent: $9.72

Finally, add the sales tax to the subtotal to get the total purchase price:

$168.97 + $9.72 = $178.69

Therefore, the total purchase price, including sales tax, is $178.69.

To construct a 95% confidence interval, use the formula: Confidence Interval = sample mean ± (critical value * (sample standard deviation / sqrt(sample size))). The confidence interval for the true mean cholesterol content is approximately 190.37 to 207.63 milligrams.

To construct a 95% confidence interval for the true mean cholesterol content of all chicken eggs, we can use the formula:

Confidence Interval = sample mean ± (critical value * (sample standard deviation / sqrt(sample size)))

Given that the sample mean is 199 milligrams, the sample standard deviation is 16.5 milligrams, and the sample size is 12, we need to determine the critical value for a 95% confidence level. Since we have a small sample size, we need to use the t-distribution.

Using a t-table or a statistical calculator, we find that the critical value for a 95% confidence level with a sample size of 12 is approximately 2.179.

Substituting the values into the formula, we get:

Confidence Interval = 199 ± (2.179 * (16.5 / sqrt(12)))

Simplifying and calculating, the confidence interval is approximately 190.37 to 207.63 milligrams.

To construct a 95% confidence interval for the mean cholesterol content of chicken eggs, we use the sample data provided, along with the t-distribution for a sample size less than 30, and apply the standard formula for confidence intervals.

The question asks to construct a 95% confidence interval for the true mean cholesterol content of chicken eggs based on the given sample data. To calculate this, we first need to use the sample mean (μ), which is 199 milligrams, and the standard deviation (s), which is 16.5 milligrams. Since the sample size is less than 30, we will use the t-distribution to find the critical value. With n=12, the degrees of freedom (df) are 11.

First, look up the critical t-value for df=11 at a 95% confidence level. Let's assume it is approximately 2.201. Next, calculate the standard error (SE) of the mean by dividing the sample standard deviation by the square root of the sample size. That's SE = 16.5 / sqrt(12).

Now, we can construct the confidence interval using the formula: mean ± (t-value * SE). Plugging in the numbers, we get 199 ± (2.201 * SE).

d. A 95 percent confidence interval means that if we took many samples and built a confidence interval from each of them, we'd expect about 95 percent of those intervals to contain the true mean cholesterol level of all such eggs. Because of sample variability, the interval provides a range of values within which we are 95% confident the true mean lies.